It Looks like Berlin is taking the timeline lead - there is authentication.

http://www.funtrivia.com/askft/Question16533.html

A two-CD album entitled Unsung Irving Berlin was issued a few years ago. On this, 'Peaches' is sung by Mary Ellin Lerner, Berlin's granddaughter.
Readily Available through all sources. (CAMSCO - Amazon)(

DISK TWO Song # 6

If you don't want my peaches, you'd better stop shaking my tree' was written by Irving Berlin but the song was either unpublished or unsung during his lifetime. After his death, it was published by the Irving Berlin Music Company as part of the 'Lower East Side Songbook'.

Lower East Side Songbook
ISBN-10: 0793552826
ISBN-13: 9780793552825
Mar 1996
72 pages

Publisher: Hal Leonard Corp

SONG LIST http://www.stagepass.com/midi/browse_item_detail.hperl?cat=1701&invnum=313028

15 Vaudeville-style songs from the early period of Berlin's brilliant career, arranged for piano and voice.

Sincerely
Gargoyle

Sorry AZ - at this moment it appears that the jovial Jew is in ahead...by a ......